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Finding the Third Proportional to 151,440 and 234,462

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Solution

The third proportional to 151,440 and 234,462 is: 362,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,440 : 234,462 = 234,462 : x
  2. Step 2: Convert to fraction form
    151,440/234,462 = 234,462/x
  3. Step 3: Cross multiply
    151,440x = 234,462 × 234,462
  4. Step 4: Simplify right side
    151,440x = 54,972,429,444
  5. Step 5: Solve for x
    x = 54,972,429,444/151,440
  6. Step 6: Final answer
    x = 362,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.